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Finding the Fourth Proportional to 6,870.50, 9,480.90 and 4,217.36

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Solution

The fourth proportional to 6,870.50, 9,480.90 and 4,217.36 is: 5,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.50 : 9,480.90 = 4,217.36 : x
  2. Step 2: Convert to fraction form
    6,870.50/9,480.90 = 4,217.36/x
  3. Step 3: Cross multiply
    6,870.50x = 9,480.90 × 4,217.36
  4. Step 4: Simplify right side
    6,870.50x = 39,984,368.42
  5. Step 5: Solve for x
    x = 39,984,368.42/6,870.50
  6. Step 6: Final answer
    x = 5,819.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.